Finite Group DatabasebetaFinite Group Databasebeta| order | 18176 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C210 |
No aliases for this group.
| Fitting | C2×B(4,𝔽2)×C71 ⋊ C2 |
| Sylow | C71 ⋊ #60399 |
5128 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1136 |
Polycyclic presentation:
2^8,71|b^a=bf,c^a=cg,g^b=gh,f^c=fh,e^d=eh,i^e=i^701178 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18176, 1036316);